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4123320030 = 232567719631
BaseRepresentation
bin1111010111000100…
…1101111011011110
3101122100202100201200
43311301031323132
531421032220110
61521053020330
7204115433124
oct36561157336
911570670650
104123320030
111826563405
12970a846a6
1350933b84b
142b1895914
15191ed46c0
hexf5c4dede

4123320030 has 96 divisors (see below), whose sum is σ = 11035035648. Its totient is φ = 1067774400.

The previous prime is 4123319987. The next prime is 4123320031. The reversal of 4123320030 is 300233214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4123319985 and 4123320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123320031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423315 + ... + 432945.

It is an arithmetic number, because the mean of its divisors is an integer number (114948288).

Almost surely, 24123320030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517517824).

4123320030 is an abundant number, since it is smaller than the sum of its proper divisors (6911715618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4123320030 is a wasteful number, since it uses less digits than its factorization.

4123320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4123320030 is about 64213.0830127319. The cubic root of 4123320030 is about 1603.5494157802.

Adding to 4123320030 its reverse (300233214), we get a palindrome (4423553244).

The spelling of 4123320030 in words is "four billion, one hundred twenty-three million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 71 90 134 142 201 213 335 355 402 426 603 639 670 710 1005 1065 1206 1278 2010 2130 3015 3195 4757 6030 6390 9514 9631 14271 19262 23785 28542 28893 42813 47570 48155 57786 71355 85626 86679 96310 142710 144465 173358 214065 288930 428130 433395 645277 683801 866790 1290554 1367602 1935831 2051403 3226385 3419005 3871662 4102806 5807493 6154209 6452770 6838010 9679155 10257015 11614986 12308418 19358310 20514030 29037465 30771045 45814667 58074930 61542090 91629334 137444001 229073335 274888002 412332003 458146670 687220005 824664006 1374440010 2061660015 4123320030